In this paper we present abstract schemes for the construction of shape preserving interpolating space curves. The proposed method uses piecewise defined curves whose pieces are taken from standard low degree polynomial spaces without tension properties. Moreover with this approach many optimization functionals (for instance any fairness functional) can be used to select the best interpolant among the admissible ones.
Costantini, P., Sampoli, M.L. (2003). Constrained Interpolation in R^3 by Abstract Schemes. In Curve and Surface Design: Saint-Malo 2002 (pp. 93-102). BRENTWOOD, TN : Nashboro Press.
Constrained Interpolation in R^3 by Abstract Schemes
COSTANTINI, PAOLO;SAMPOLI, MARIA LUCIA
2003-01-01
Abstract
In this paper we present abstract schemes for the construction of shape preserving interpolating space curves. The proposed method uses piecewise defined curves whose pieces are taken from standard low degree polynomial spaces without tension properties. Moreover with this approach many optimization functionals (for instance any fairness functional) can be used to select the best interpolant among the admissible ones.
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https://hdl.handle.net/11365/14972
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